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Svein Olav Nyberg

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A comprehensive resource that offers an introduction to statistics with a Bayesian angle, for students of professional disciplines like engineering and economics The Bayesian Way offers a basic introduction to statistics that emphasizes the Bayesian approach and is designed for use by those studying professional disciplines like engineering and economics. In addition to the Bayesian approach, the author includes the most common techniques of the frequentist approach. Throughout the text, the author covers statistics from a basic to a professional working level along with a practical understanding of the matter at hand. Filled with helpful illustrations, this comprehensive text explores a wide range of topics, starting with descriptive statistics, set theory, and combinatorics. The text then goes on to review fundamental probability theory and Bayes' theorem. The first part ends in an exposition of stochastic variables, exploring discrete, continuous and mixed probability distributions. In the second part, the book looks at statistical inference. Primarily Bayesian, but with the main frequentist techniques included, it covers conjugate priors through the powerful yet simple method of hyperparameters. It then goes on to topics in hypothesis testing (including utility functions), point and interval estimates (including frequentist confidence intervals), and linear regression. This book: * Explains basic statistics concepts in accessible terms and uses an abundance of illustrations to enhance visual understanding * Has guides for how to calculate the different probability distributions, functions , and statistical properties, on platforms like popular pocket calculators and Mathematica / Wolfram Alpha * Includes example-proofs that enable the reader to follow the reasoning * Contains assignments at different levels of difficulty from simply filling out the correct formula to the complex multi-step text assignments * Offers information on continuous, discrete and mixed probability distributions, hypothesis testing, credible and confidence intervals, and linear regression Written for undergraduate and graduate students of subjects where Bayesian statistics are applied, including engineering, economics, and related fields, The Bayesian Way: With Applications in Engineering and Economics offers a clear understanding of Bayesian statistics that have real-world applications.

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Veröffentlichungsjahr: 2018

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The Bayesian Way

Introductory Statistics for Economists and Engineers

Svein Olav Nyberg

University of Agder Grimstad, Norway

This edition first published 2019 © 2019 John Wiley & Sons, Inc

Edition History

All rights reserved. No part of this publication may be reproduced, stored in a retrieval system, or transmitted, in any form or by any means, electronic, mechanical, photocopying, recording or otherwise, except as permitted by law. Advice on how to obtain permission to reuse material from this title is available at http://www.wiley.com/go/permissions.

The right of Svein Olav Nyberg to be identified as the author of the material in this work has been asserted in accordance with law.

Registered Office(s)

John Wiley & Sons, Inc., 111 River Street, Hoboken, NJ 07030, USA

Editorial Office

111 River Street, Hoboken, NJ 07030, USA

For details of our global editorial offices, customer services, and more information about Wiley products visit us at www.wiley.com.

Wiley also publishes its books in a variety of electronic formats and by print-on-demand. Some content that appears in standard print versions of this book may not be available in other formats.

Limit of Liability/Disclaimer of Warranty

In view of ongoing research, equipment modifications, changes in governmental regulations, and the constant flow of information relating to the use of experimental reagents, equipment, and devices, the reader is urged to review and evaluate the information provided in the package insert or instructions for each chemical, piece of equipment, reagent, or device for, among other things, any changes in the instructions or indication of usage and for added warnings and precautions. While the publisher and authors have used their best efforts in preparing this work, they make no representations or warranties with respect to the accuracy or completeness of the contents of this work and specifically disclaim all warranties, including without limitation any implied warranties of merchantability or fitness for a particular purpose. No warranty may be created or extended by sales representatives, written sales materials or promotional statements for this work. The fact that an organization, website, or product is referred to in this work as a citation and/or potential source of further information does not mean that the publisher and authors endorse the information or services the organization, website, or product may provide or recommendations it may make. This work is sold with the understanding that the publisher is not engaged in rendering professional services. The advice and strategies contained herein may not be suitable for your situation. You should consult with a specialist where appropriate. Further, readers should be aware that websites listed in this work may have changed or disappeared between when this work was written and when it is read. Neither the publisher nor authors shall be liable for any loss of profit or any other commercial damages, including but not limited to special, incidental, consequential, or other damages.

Library of Congress Cataloging-in-Publication Data

Names: Nyberg, Svein Olav, author.

Title: The Bayesian way : introductory statistics for economists and engineers / Svein Olav Nyberg.

Description: 1st edition. | Hoboken, NJ : John Wiley & Sons, 2018. | Includes index. |

Identifiers: LCCN 2017060721 (print) | LCCN 2018007080 (ebook) | ISBN 9781119246886 (pdf) |

 ISBN 9781119246893 (epub) | ISBN 9781119246879 (cloth)

Subjects: LCSH: Bayesian statistical decision theory. | Economics–Statistical methods. |

 Engineering–Statistical methods.

Classification: LCC QA279.5 (ebook) | LCC QA279.5 .N93 2018 (print) | DDC 519.5/42–dc23

LC record available at https://lccn.loc.gov/2017060721

Cover image: © Javi Tejedor Calleja /

Cover design by Wiley

This book is dedicated to my two beautiful daughters Kira Amalie and Amaris Beate.

 

Thank you for being patient with Pappa.

List of Tables

Chapter 1

Table 1.1

Table 1.2

Chapter 2

Table 2.1

Table 2.2

Table 2.3

Chapter 3

Table 3.1

Table 3.2

Table 3.3

Table 3.4

Chapter 4

Table 4.1

Table 4.2

Table 4.3

Table 4.4

Table 4.5

Chapter 5

Table 5.1

Table 5.2

Chapter 6

Table 6.1

Chapter 7

Table 7.1

Table 7.2

Table 7.3

Table 7.4

Table 7.5

Chapter 12

Table 12.1

Table 12.2

Table 12.3

Chapter 13

Table 13.1

Chapter 16

Table 16.1

Table 16.2

Chapter 17

Table 17.1

Guide

Cover

Table of Contents

Preface

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